dorsal/arxiv
View SchemaRadiative Transfer Limits of Two-Frequency Wigner Distribution for Random Parabolic Waves
| Authors | Albert Fannjiang |
|---|---|
| Categories | |
| ArXiv ID | physics/0609199 |
| URL | https://arxiv.org/abs/physics/0609199 |
| DOI | 10.1016/j.crhy.2007.01.001 |
Abstract
The present note establishes the self-averaging, radiative transfer limit for the two-frequency Wigner distribution for classical waves in random media. Depending on the ratio of the wavelength to the correlation length the limiting equation is either a Boltzmann-like integral equation or a Fokker-Planck-like differential equation in the phase space. The limiting equation is used to estimate three physical parameters: the spatial spread, the coherence length and the coherence bandwidth. In the longitudinal case, the Fokker-Planck-like equation can be solved exactly.
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"abstract": "The present note establishes the self-averaging, radiative transfer limit for\nthe two-frequency Wigner distribution for classical waves in random media.\nDepending on the ratio of the wavelength to the correlation length the limiting\nequation is either a Boltzmann-like integral equation or a Fokker-Planck-like\ndifferential equation in the phase space. The limiting equation is used to\nestimate three physical parameters: the spatial spread, the coherence length\nand the coherence bandwidth. In the longitudinal case, the Fokker-Planck-like\nequation can be solved exactly.",
"arxiv_id": "physics/0609199",
"authors": [
"Albert Fannjiang"
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"physics.optics"
],
"doi": "10.1016/j.crhy.2007.01.001",
"title": "Radiative Transfer Limits of Two-Frequency Wigner Distribution for Random Parabolic Waves",
"url": "https://arxiv.org/abs/physics/0609199"
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